Condenser capacity and hyperbolic diameter
| Author | Mohamed M.S., Nasser |
| Author | Rainio, Oona |
| Author | Vuorinen, Matti |
| Available date | 2024-03-12T10:16:29Z |
| Publication Date | 2021-11-26 |
| Publication Name | Journal of Mathematical Analysis and Applications |
| Identifier | http://dx.doi.org/10.1016/j.jmaa.2021.125870 |
| Citation | Nasser, M. M., Rainio, O., & Vuorinen, M. (2022). Condenser capacity and hyperbolic diameter. Journal of Mathematical Analysis and Applications, 508(1), 125870. |
| ISSN | 0022-247X |
| Abstract | Given a compact connected set E in the unit disk B2, we give a new upper bound for the conformal capacity of the condenser (B2,E) in terms of the hyperbolic diameter t of E. Moreover, for t>0, we construct a set of hyperbolic diameter t and apply novel numerical methods to show that it has larger capacity than a hyperbolic disk with the same diameter. The set we construct is called a Reuleaux triangle in hyperbolic geometry and it has constant hyperbolic width equal to t. |
| Language | en |
| Publisher | Elsevier |
| Subject | Boundary integral equation Condenser capacity Hyperbolic geometry Isoperimetric inequality Jung radius Reuleaux triangle |
| Type | Article |
| Issue Number | 1 |
| Volume Number | 508 |
| Open Access user License | http://creativecommons.org/licenses/by/4.0/ |
| ESSN | 1096-0813 |
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Mathematics, Statistics & Physics [689 items ]